Least Common Multiple of 224, 736, 252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 224, 736, 252 i.e. 46368 smallest integer divisible by all numbers.

Least common multiple (LCM) of 224, 736, 252 is 46368.

LCM(224, 736, 252) = 46368

LCM of 224, 736, 252

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 224,736,252

Least Common Multiple (LCM) of 224,736,252 is 46368

2 224, 736, 252
2 112, 368, 126
2 56, 184, 63
2 28, 92, 63
2 14, 46, 63
7 7, 23, 63
1, 23, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 7 x 1 x 23 x 9 = 46368

Least Common Multiple of 224,736,252 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 224,736,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,736,252) = 4

common factors(in case of two or more numbers have common factors) = 224

GCF(224,736,252) x common factors =4 x 224 = 896

LCM(224,736,252) = ( 224 × 736 × 252 ) / 896

LCM(224,736,252) = 41545728 / 896

LCM(224,736,252) = 46368

∴ Least Common Multiple of 224,736,252 is 46368

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 224, 736, 252

1. What is the LCM of 224, 736, 252?

Answer: LCM of 224, 736, 252 is 46368.

2. What are the Factors of 46368?

Answer: Factors of 46368 are . There are integers that are factors of 46368

3. How to Find the LCM of 224, 736, 252 ?

Least Common Multiple of 224, 736, 252.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(224, 736, 252) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 23 = 46368.